jsydney809 jsydney809
  • 23-04-2022
  • Mathematics
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What is an equation of a line in point-slope form, that passes through (1, - 7) and has a slope of -⅔​

What is an equation of a line in pointslope form that passes through 1 7 and has a slope of class=

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semsee45
semsee45 semsee45
  • 23-04-2022

Answer:

[tex]y+7=-\dfrac23(x-1)[/tex]

Step-by-step explanation:

Use the point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

where:

  • [tex]m[/tex] = slope
  • [tex](x_1,y_1)[/tex] = point on the line

Given:

  • [tex]m=-\dfrac23[/tex]
  • [tex](x_1,y_1)=(1,-7)[/tex]

Substitute the given values into the formula:

[tex]\implies y-(-7)=-\dfrac23(x-1)[/tex]

[tex]\implies y+7=-\dfrac23(x-1)[/tex]

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